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104434467220 = 22543738918691
BaseRepresentation
bin110000101000011000…
…1111000000110010100
3100222120012212121200101
41201100301320012110
53202340210422340
6115550533023444
710354661216236
oct1412061700624
9328505777611
10104434467220
1140321596a46
12182a6a84b84
139b0444cb45
1450a9d8c256
152ab36d0c9a
hex1850c78194

104434467220 has 96 divisors (see below), whose sum is σ = 230055154560. Its totient is φ = 39789066240.

The previous prime is 104434467209. The next prime is 104434467223. The reversal of 104434467220 is 22764434401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 104434467220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104434467223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5578075 + ... + 5596765.

It is an arithmetic number, because the mean of its divisors is an integer number (2396407860).

Almost surely, 2104434467220 is an apocalyptic number.

104434467220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104434467220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115027577280).

104434467220 is an abundant number, since it is smaller than the sum of its proper divisors (125620687340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104434467220 is a wasteful number, since it uses less digits than its factorization.

104434467220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18905 (or 18903 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The spelling of 104434467220 in words is "one hundred four billion, four hundred thirty-four million, four hundred sixty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 73 86 89 146 172 178 215 292 356 365 430 445 730 860 890 1460 1780 3139 3827 6278 6497 7654 12556 12994 15308 15695 18691 19135 25988 31390 32485 37382 38270 62780 64970 74764 76540 93455 129940 186910 279371 373820 558742 803713 1117484 1364443 1396855 1607426 1663499 2728886 2793710 3214852 3326998 4018565 5457772 5587420 6653996 6822215 8037130 8317495 13644430 16074260 16634990 27288860 33269980 58671049 71530457 117342098 121435427 143060914 234684196 242870854 286121828 293355245 357652285 485741708 586710490 607177135 715304570 1173420980 1214354270 1430609140 2428708540 5221723361 10443446722 20886893444 26108616805 52217233610 104434467220